Abstract: In some real complex networks, to maximize interests and minimize their own risk, networks managers will face making some decisions, but the existing researches are against a kind of network to making-decision, and lack of versatility, also ignore a large number uncertain phenomenon in complex networks, it is difficult to obtain good decision. This paper defines network-based of rough complex networks, studies the natures of network-based, and proves the conclusion of complex network equivalent its network-based. Then this paper proposes two decision methods about nodes importance and decision methods of rough complex networks based on network-based. Finally this paper uses the decision methods based on network-based in the risk decisions of the third-party payment rough complex networks, establishes a risk decision model, and gives quantitative decision results. The decision methods based on   network-based are used successfully in the risk decision model of the third-party payment rough complex networks, which show the effectiveness and feasibility of decision methods.

Key words: rough complex networks, network-based, decision methods, the third-party payment risk analysis

摘要： 在一些实际的复杂网络中，网络的管理者为了自身利益最大化和风险最小化，需要做出一些决策，但是现有的研究也只是针对某一实际复杂网络所做的决策，缺乏通用性，也忽略了复杂网络中大量的不确定现象，因此难以取得比较好的决策效果。定义了粗糙复杂网络的网络基，并对网络基的性质进行了研究，证明了网络基与复杂网络等价的结论；提出了两种节点重要性的决策方法和基于网络基的粗糙复杂网络决策方法。最后将基于网络基的粗糙复杂网络决策方法应用于第三方支付粗糙复杂网络的风险分析，建立了二层风险决策模型，给出了量化的决策分析结果。基于网络基的粗糙复杂网络决策方法在第三方支付粗糙复杂网络风险决策模型中的成功应用，说明了该方法的有效性和可行性。

关键词: 粗糙复杂网络, 网络基, 决策方法, 第三方支付风险分析